
<!DOCTYPE HTML>
<html lang="" >
    <head>
        <meta charset="UTF-8">
        <meta content="text/html; charset=utf-8" http-equiv="Content-Type">
        <title>最小生成树 · GitBook</title>
        <meta http-equiv="X-UA-Compatible" content="IE=edge" />
        <meta name="description" content="">
        <meta name="generator" content="GitBook 3.2.3">
        
        
        
    
    <link rel="stylesheet" href="../gitbook/style.css">

    
            
                
                <link rel="stylesheet" href="../gitbook/gitbook-plugin-highlight/website.css">
                
            
                
                <link rel="stylesheet" href="../gitbook/gitbook-plugin-search/search.css">
                
            
                
                <link rel="stylesheet" href="../gitbook/gitbook-plugin-fontsettings/website.css">
                
            
        

    

    
        
    
        
    
        
    
        
    
        
    
        
    

        
    
    
    <meta name="HandheldFriendly" content="true"/>
    <meta name="viewport" content="width=device-width, initial-scale=1, user-scalable=no">
    <meta name="apple-mobile-web-app-capable" content="yes">
    <meta name="apple-mobile-web-app-status-bar-style" content="black">
    <link rel="apple-touch-icon-precomposed" sizes="152x152" href="../gitbook/images/apple-touch-icon-precomposed-152.png">
    <link rel="shortcut icon" href="../gitbook/images/favicon.ico" type="image/x-icon">

    
    <link rel="next" href="有向无环图.html" />
    
    
    <link rel="prev" href="图的遍历.html" />
    

    </head>
    <body>
        
<div class="book">
    <div class="book-summary">
        
            
<div id="book-search-input" role="search">
    <input type="text" placeholder="Type to search" />
</div>

            
                <nav role="navigation">
                


<ul class="summary">
    
    

    

    
        
        
    
        <li class="chapter " data-level="1.1" data-path="../">
            
                <a href="../">
            
                    
                    数据结构（C语言版） 复习总结
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.2" data-path="../chapter1.html">
            
                <a href="../chapter1.html">
            
                    
                    第一章 绪论
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.3" data-path="../chapter2/chapter2.html">
            
                <a href="../chapter2/chapter2.html">
            
                    
                    第二章 线性表
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.3.1" data-path="../chapter2/顺序表.html">
            
                <a href="../chapter2/顺序表.html">
            
                    
                    线性表的顺序表示和实现
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.3.2" data-path="../chapter2/链表.html">
            
                <a href="../chapter2/链表.html">
            
                    
                    线性表的链式表示和实现
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.4" data-path="../chapter3/chapter3.html">
            
                <a href="../chapter3/chapter3.html">
            
                    
                    第三章 栈和队列
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.4.1" data-path="../chapter3/栈.html">
            
                <a href="../chapter3/栈.html">
            
                    
                    抽象数据类型栈的定义和实现
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.4.2" data-path="../chapter3/队列.html">
            
                <a href="../chapter3/队列.html">
            
                    
                    抽象数据类型队列的定义和实现
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.5" >
            
                <span>
            
                    
                    第四章 串
            
                </span>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.5.1" data-path="../chapter4/串类型.html">
            
                <a href="../chapter4/串类型.html">
            
                    
                    串类型的定义
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.2" data-path="../chapter4/串的表示和实现.html">
            
                <a href="../chapter4/串的表示和实现.html">
            
                    
                    串的表示和实现
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.3" data-path="../chapter4/串的模式匹配算法.html">
            
                <a href="../chapter4/串的模式匹配算法.html">
            
                    
                    串的模式匹配算法
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.6" >
            
                <span>
            
                    
                    第五章 数组和广义表
            
                </span>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.6.1" data-path="../chapter5/数组的定义.html">
            
                <a href="../chapter5/数组的定义.html">
            
                    
                    数组的定义
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.6.2" data-path="../chapter5/矩阵的压缩存储.html">
            
                <a href="../chapter5/矩阵的压缩存储.html">
            
                    
                    矩阵的压缩存储
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.6.3" data-path="../chapter5/广义表.html">
            
                <a href="../chapter5/广义表.html">
            
                    
                    广义表
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.7" >
            
                <span>
            
                    
                    第六章 树和二叉树
            
                </span>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.7.1" data-path="../chapter6/树.html">
            
                <a href="../chapter6/树.html">
            
                    
                    树的定义与基本术语
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.7.2" data-path="../chapter6/二叉树.html">
            
                <a href="../chapter6/二叉树.html">
            
                    
                    二叉树
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.7.2.1" data-path="../chapter6/二叉树的二叉链表实现.html">
            
                <a href="../chapter6/二叉树的二叉链表实现.html">
            
                    
                    二叉树的二叉链表实现
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.7.3" data-path="../chapter6/遍历二叉树和线索二叉树.html">
            
                <a href="../chapter6/遍历二叉树和线索二叉树.html">
            
                    
                    遍历二叉树和线索二叉树
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.7.4" data-path="../chapter6/树和森林.html">
            
                <a href="../chapter6/树和森林.html">
            
                    
                    树和森林
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.7.5" data-path="../chapter6/赫夫曼树.html">
            
                <a href="../chapter6/赫夫曼树.html">
            
                    
                    赫夫曼树
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.8" >
            
                <span>
            
                    
                    第七章 图
            
                </span>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.8.1" data-path="图.html">
            
                <a href="图.html">
            
                    
                    图的定义
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.8.2" data-path="图的存储结构.html">
            
                <a href="图的存储结构.html">
            
                    
                    图的存储结构
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.8.3" data-path="图的遍历.html">
            
                <a href="图的遍历.html">
            
                    
                    图的遍历
            
                </a>
            

            
        </li>
    
        <li class="chapter active" data-level="1.8.4" data-path="最小生成树.html">
            
                <a href="最小生成树.html">
            
                    
                    最小生成树
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.8.5" data-path="有向无环图.html">
            
                <a href="有向无环图.html">
            
                    
                    有向无环图的应用
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.9" data-path="../chapter8/查找.html">
            
                <a href="../chapter8/查找.html">
            
                    
                    第八章 查找
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.9.1" data-path="../chapter8/静态查找表.html">
            
                <a href="../chapter8/静态查找表.html">
            
                    
                    静态查找表
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.9.2" data-path="../chapter8/动态查找表.html">
            
                <a href="../chapter8/动态查找表.html">
            
                    
                    动态查找表
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.9.3" data-path="../chapter8/哈希表.html">
            
                <a href="../chapter8/哈希表.html">
            
                    
                    哈希表
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.10" data-path="../chapter9/内部排序.html">
            
                <a href="../chapter9/内部排序.html">
            
                    
                    第九章 内部排序
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.10.1" data-path="../chapter9/插入排序.html">
            
                <a href="../chapter9/插入排序.html">
            
                    
                    插入排序
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.10.2" data-path="../chapter9/选择排序.html">
            
                <a href="../chapter9/选择排序.html">
            
                    
                    选择排序
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.10.3" data-path="../chapter9/快速排序.html">
            
                <a href="../chapter9/快速排序.html">
            
                    
                    快速排序
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.10.4" data-path="../chapter9/归并排序和基数排序.html">
            
                <a href="../chapter9/归并排序和基数排序.html">
            
                    
                    归并排序和基数排序
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.10.5" data-path="../chapter9/排序方法的比较.html">
            
                <a href="../chapter9/排序方法的比较.html">
            
                    
                    排序方法的比较
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    

    

    <li class="divider"></li>

    <li>
        <a href="https://www.gitbook.com" target="blank" class="gitbook-link">
            Published with GitBook
        </a>
    </li>
</ul>


                </nav>
            
        
    </div>

    <div class="book-body">
        
            <div class="body-inner">
                
                    

<div class="book-header" role="navigation">
    

    <!-- Title -->
    <h1>
        <i class="fa fa-circle-o-notch fa-spin"></i>
        <a href=".." >最小生成树</a>
    </h1>
</div>




                    <div class="page-wrapper" tabindex="-1" role="main">
                        <div class="page-inner">
                            
<div id="book-search-results">
    <div class="search-noresults">
    
                                <section class="normal markdown-section">
                                
                                <h2 id="&#x56FE;&#x7684;&#x8FDE;&#x901A;&#x6027;&#x95EE;&#x9898;">&#x56FE;&#x7684;&#x8FDE;&#x901A;&#x6027;&#x95EE;&#x9898;</h2>
<h3 id="&#x65E0;&#x5411;&#x56FE;&#x7684;&#x8FDE;&#x901A;&#x5206;&#x91CF;&#x548C;&#x751F;&#x6210;&#x6811;">&#x65E0;&#x5411;&#x56FE;&#x7684;&#x8FDE;&#x901A;&#x5206;&#x91CF;&#x548C;&#x751F;&#x6210;&#x6811;</h3>
<p><strong>&#x8FDE;&#x901A;&#x5206;&#x91CF;</strong>&#xFF1A;&#x975E;&#x8FDE;&#x901A;&#x56FE;&#x7684;&#x6BCF;&#x4E00;&#x4E2A;&#x8FDE;&#x901A;&#x90E8;&#x5206;&#xFF08;&#x8FDE;&#x901A;&#x7684;&#x5B50;&#x56FE;&#xFF09;&#x3002;</p>
<p><strong>&#x751F;&#x6210;&#x6811;</strong>&#xFF1A;&#x6240;&#x6709;&#x9876;&#x70B9;&#x5747;&#x7531;&#x8FB9;&#x8FDE;&#x63A5;&#x5728;&#x4E00;&#x8D77;&#xFF0C;&#x4F46;&#x4E0D;&#x5B58;&#x5728;&#x56DE;&#x8DEF;&#x7684;&#x56FE;&#x3002;</p>
<blockquote>
<p>&#x904D;&#x5386;&#x56FE;&#x7684;&#x8DEF;&#x5F84;&#x5373;&#x4E3A;&#x751F;&#x6210;&#x6811;&#x7684;&#x7ED3;&#x679C;&#x3002;</p>
</blockquote>
<p><strong>&#x751F;&#x6210;&#x6811;&#x7684;&#x79CD;&#x7C7B;</strong>&#xFF1A;&#x6DF1;&#x5EA6;&#x4F18;&#x5148;&#x751F;&#x6210;&#x6811;&#x3001;&#x5E7F;&#x5EA6;&#x4F18;&#x5148;&#x751F;&#x6210;&#x6811;&#x3002;</p>
<p><strong>&#x751F;&#x6210;&#x68EE;&#x6797;</strong>&#xFF1A;&#x975E;&#x8FDE;&#x901A;&#x56FE;&#x6BCF;&#x4E2A;&#x8FDE;&#x901A;&#x5206;&#x91CF;&#x7684;&#x751F;&#x6210;&#x6811;&#x4E00;&#x8D77;&#x7EC4;&#x6210;&#x975E;&#x8FDE;&#x901A;&#x56FE;&#x7684;&#x751F;&#x6210;&#x68EE;&#x6797;&#x3002;</p>
<blockquote>
<ol>
<li>&#x4E00;&#x4E2A;&#x56FE;&#x53EF;&#x4EE5;&#x6709;&#x8BB8;&#x591A;&#x68F5;&#x4E0D;&#x540C;&#x7684;&#x751F;&#x6210;&#x6811;&#x3002;</li>
<li>&#x6240;&#x6709;&#x751F;&#x6210;&#x6811;&#x5177;&#x6709;&#x4EE5;&#x4E0B;&#x5171;&#x540C;&#x7279;&#x70B9;&#xFF1A;<ul>
<li>&#x751F;&#x6210;&#x6811;&#x7684;&#x9876;&#x70B9;&#x4E2A;&#x6570;&#x4E0E;&#x56FE;&#x7684;&#x9876;&#x70B9;&#x4E2A;&#x6570;&#x76F8;&#x540C;&#xFF1B;</li>
<li>&#x751F;&#x6210;&#x6811;&#x662F;&#x56FE;&#x7684;&#x6781;&#x5C0F;&#x8FDE;&#x901A;&#x5B50;&#x56FE;&#xFF1B;</li>
<li>&#x4E00;&#x4E2A;&#x6709; <em>n</em> &#x4E2A;&#x9876;&#x70B9;&#x7684;&#x8FDE;&#x901A;&#x56FE;&#x7684;&#x751F;&#x6210;&#x6811;&#x6709; <em>n-1</em> &#x6761;&#x8FB9;&#xFF1B;</li>
<li>&#x751F;&#x6210;&#x6811;&#x4E2D;&#x4EFB;&#x610F;&#x4E24;&#x4E2A;&#x9876;&#x70B9;&#x95F4;&#x7684;&#x8DEF;&#x5F84;&#x662F;&#x552F;&#x4E00;&#x7684;&#xFF1B;</li>
<li>&#x5728;&#x751F;&#x6210;&#x6811;&#x4E2D;&#x518D;&#x52A0;&#x4E00;&#x6761;&#x8FB9;&#x5FC5;&#x7136;&#x5F62;&#x6210;&#x56DE;&#x8DEF;&#x3002;</li>
</ul>
</li>
<li>&#x542B; <em>n</em> &#x4E2A;&#x9876;&#x70B9; <em>n-1</em> &#x6761;&#x8FB9;&#x7684;&#x56FE;&#x4E0D;&#x4E00;&#x5B9A;&#x662F;&#x751F;&#x6210;&#x6811;&#x3002;</li>
</ol>
</blockquote>
<h3 id="&#x6700;&#x5C0F;&#x751F;&#x6210;&#x6811;">&#x6700;&#x5C0F;&#x751F;&#x6210;&#x6811;</h3>
<p>&#x6784;&#x9020;&#x8FDE;&#x901A;&#x7F51;&#x7684;&#x6700;&#x5C0F;&#x4EE3;&#x4EF7;&#x751F;&#x6210;&#x6811;&#xFF08;&#x7B80;&#x79F0;<strong>&#x6700;&#x5C0F;&#x751F;&#x6210;&#x6811;</strong>&#xFF09;&#x7684;&#x95EE;&#x9898;&#x3002;</p>
<p>&#x6784;&#x9020;&#x6700;&#x5C0F;&#x751F;&#x6210;&#x6811;&#x7684;&#x7B97;&#x6CD5;&#x5927;&#x591A;&#x5229;&#x7528;&#x4E86;&#x4EE5;&#x4E0B;&#x7B80;&#x79F0;&#x4E3A; <strong>MST</strong> &#x7684;&#x6027;&#x8D28;&#xFF1A;&#x82E5; (<em>u</em>,<em>v</em>) &#x662F;&#x4E00;&#x6761;&#x5177;&#x6709;&#x6700;&#x5C0F;&#x4EE3;&#x4EF7;&#xFF08;&#x6743;&#x503C;&#xFF09;&#x7684;&#x8FB9;&#xFF0C;&#x5219;&#x5FC5;&#x5B58;&#x5728;&#x4E00;&#x68F5;&#x5305;&#x542B;&#x8FB9; (<em>u</em>,<em>v</em>) &#x7684;&#x6700;&#x5C0F;&#x751F;&#x6210;&#x6811;&#x3002;&#x4E00;&#x68F5;&#x751F;&#x6210;&#x6811;&#x7684;&#x4EE3;&#x4EF7;&#x5C31;&#x662F;&#x6811;&#x4E0A;&#x5404;&#x8FB9;&#x7684;&#x4EE3;&#x4EF7;&#x4E4B;&#x548C;&#x3002;</p>
<p><strong>&#x666E;&#x91CC;&#x59C6;&#xFF08;Prim&#xFF09;&#x7B97;&#x6CD5;</strong></p>
<p>&#x4ECE;&#x67D0;&#x9876;&#x70B9;&#x5F00;&#x59CB;&#xFF0C;&#x627E;&#x5176;&#x76F8;&#x90BB;&#x8FB9;&#x4E2D;&#x6743;&#x503C;&#x6700;&#x5C0F;&#x7684;&#x8FB9;&#x6240;&#x8FDE;&#x53E6;&#x4E00;&#x4E2A;&#x9876;&#x70B9;&#xFF0C;&#x518D;&#x627E;&#x4E0E;&#x8FD9;&#x4E24;&#x4E2A;&#x9876;&#x70B9;&#x76F8;&#x90BB;&#x8FB9;&#x4E2D;&#x6743;&#x503C;&#x6700;&#x5C0F;&#x7684;&#x8FB9;&#x6240;&#x8FDE;&#x7B2C;&#x4E09;&#x4E2A;&#x9876;&#x70B9;&#xFF0C;&#x91CD;&#x590D;&#xFF0C;&#x6269;&#x5C55;&#x5230;&#x6240;&#x6709;&#x9876;&#x70B9;&#x3002;</p>
<p><strong>&#x514B;&#x9C81;&#x65AF;&#x5361;&#x5C14;&#x7B97;&#x6CD5;</strong></p>
<p>&#x5148;&#x5C06;&#x6240;&#x6709;&#x9876;&#x70B9;&#x90FD;&#x770B;&#x4F5C;&#x65E0;&#x8FB9;&#x7684;&#x975E;&#x8FDE;&#x901A;&#x56FE;&#xFF0C;&#x9009;&#x62E9;&#x5404;&#x9876;&#x70B9;&#x95F4;&#x6700;&#x5C0F;&#x8FB9;&#x505A;&#x8FDE;&#x901A;&#x5206;&#x91CF;&#xFF0C;&#x76F4;&#x5230;&#x6240;&#x6709;&#x5B9A;&#x70B9;&#x90FD;&#x5728;&#x540C;&#x4E00;&#x4E2A;&#x8FDE;&#x901A;&#x5206;&#x91CF;&#x4E0A;&#x3002;</p>

                                
                                </section>
                            
    </div>
    <div class="search-results">
        <div class="has-results">
            
            <h1 class="search-results-title"><span class='search-results-count'></span> results matching "<span class='search-query'></span>"</h1>
            <ul class="search-results-list"></ul>
            
        </div>
        <div class="no-results">
            
            <h1 class="search-results-title">No results matching "<span class='search-query'></span>"</h1>
            
        </div>
    </div>
</div>

                        </div>
                    </div>
                
            </div>

            
                
                <a href="图的遍历.html" class="navigation navigation-prev " aria-label="Previous page: 图的遍历">
                    <i class="fa fa-angle-left"></i>
                </a>
                
                
                <a href="有向无环图.html" class="navigation navigation-next " aria-label="Next page: 有向无环图的应用">
                    <i class="fa fa-angle-right"></i>
                </a>
                
            
        
    </div>

    <script>
        var gitbook = gitbook || [];
        gitbook.push(function() {
            gitbook.page.hasChanged({"page":{"title":"最小生成树","level":"1.8.4","depth":2,"next":{"title":"有向无环图的应用","level":"1.8.5","depth":2,"path":"chapter7/有向无环图.md","ref":"chapter7/有向无环图.md","articles":[]},"previous":{"title":"图的遍历","level":"1.8.3","depth":2,"path":"chapter7/图的遍历.md","ref":"chapter7/图的遍历.md","articles":[]},"dir":"ltr"},"config":{"gitbook":"*","theme":"default","variables":{},"plugins":[],"pluginsConfig":{"highlight":{},"search":{},"lunr":{"maxIndexSize":1000000,"ignoreSpecialCharacters":false},"sharing":{"facebook":true,"twitter":true,"google":false,"weibo":false,"instapaper":false,"vk":false,"all":["facebook","google","twitter","weibo","instapaper"]},"fontsettings":{"theme":"white","family":"sans","size":2},"theme-default":{"styles":{"website":"styles/website.css","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"},"showLevel":false}},"structure":{"langs":"LANGS.md","readme":"README.md","glossary":"GLOSSARY.md","summary":"SUMMARY.md"},"pdf":{"pageNumbers":true,"fontSize":12,"fontFamily":"Arial","paperSize":"a4","chapterMark":"pagebreak","pageBreaksBefore":"/","margin":{"right":62,"left":62,"top":56,"bottom":56}},"styles":{"website":"styles/website.css","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"}},"file":{"path":"chapter7/最小生成树.md","mtime":"2018-08-24T12:57:58.545Z","type":"markdown"},"gitbook":{"version":"3.2.3","time":"2018-09-02T10:05:33.540Z"},"basePath":"..","book":{"language":""}});
        });
    </script>
</div>

        
    <script src="../gitbook/gitbook.js"></script>
    <script src="../gitbook/theme.js"></script>
    
        
        <script src="../gitbook/gitbook-plugin-search/search-engine.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-search/search.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-lunr/lunr.min.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-lunr/search-lunr.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-sharing/buttons.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-fontsettings/fontsettings.js"></script>
        
    

    </body>
</html>

